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Finding the Third Proportional to 209,126 and 445,224

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Solution

The third proportional to 209,126 and 445,224 is: 947,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,126 : 445,224 = 445,224 : x
  2. Step 2: Convert to fraction form
    209,126/445,224 = 445,224/x
  3. Step 3: Cross multiply
    209,126x = 445,224 × 445,224
  4. Step 4: Simplify right side
    209,126x = 198,224,410,176
  5. Step 5: Solve for x
    x = 198,224,410,176/209,126
  6. Step 6: Final answer
    x = 947,870.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.